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20326960800 = 2533529111033
BaseRepresentation
bin10010111011100101…
…001100111010100000
31221110121202121011000
4102323211030322200
5313112200221200
613201005152000
71316502213246
oct227345147240
957417677130
1020326960800
118691048563
123b3355b600
131bbc355273
14dab8b6796
157de803300
hex4bb94cea0

20326960800 has 288 divisors, whose sum is σ = 73667784960. Its totient is φ = 5409331200.

The previous prime is 20326960763. The next prime is 20326960847. The reversal of 20326960800 is 806962302.

20326960800 is a `hidden beast` number, since 20 + 3 + 26 + 9 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19677084 + ... + 19678116.

It is an arithmetic number, because the mean of its divisors is an integer number (255790920).

Almost surely, 220326960800 is an apocalyptic number.

20326960800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20326960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36833892480).

20326960800 is an abundant number, since it is smaller than the sum of its proper divisors (53340824160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20326960800 is a wasteful number, since it uses less digits than its factorization.

20326960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20326960800 in words is "twenty billion, three hundred twenty-six million, nine hundred sixty thousand, eight hundred".